Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems
We consider a two-dimensional time scale system of first order dynamic equations and establish some necessary and sufficient conditions for the existence of nonoscillatory solutions for the system using Knaster fixed point theorem, the Schauder fixed point theorem and the Schauder-Tychonoff fixed point theorem. We also provide examples to underline the main results of this article.
E. Akin and O. Ozturk, "Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems," Mediterranean Journal of Mathematics, vol. 14, no. 1, Birkhäuser Verlag, Feb 2017.
The definitive version is available at https://doi.org/10.1007/s00009-016-0836-z
Mathematics and Statistics
Keywords and Phrases
Asymptotic behaviors; Dynamical systems; Nonoscillation; Time scale
International Standard Serial Number (ISSN)
Article - Journal
© 2017 Birkhäuser Verlag, All rights reserved.
01 Feb 2017